88263621600 has 1296 divisors, whose sum is σ = 382032298368. Its totient is φ = 17498880000.

The previous prime is 88263621587. The next prime is 88263621647. The reversal of 88263621600 is 612636288.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1243149565 + ... + 1243149635.

It is an arithmetic number, because the mean of its divisors is an integer number (294778008).

Almost surely, 2^88263621600 is an apocalyptic number.

88263621600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88263621600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191016149184).

88263621600 is an abundant number, since it is smaller than the sum of its proper divisors (293768676768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88263621600 is a wasteful number, since it uses less digits than its factorization.

88263621600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 88263621600 in words is "eighty-eight billion, two hundred sixty-three million, six hundred twenty-one thousand, six hundred".